72830 has 8 divisors (see below), whose sum is σ = 131112. Its totient is φ = 29128.

The previous prime is 72823. The next prime is 72859. The reversal of 72830 is 3827.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Curzon number.

It is a nialpdrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3632 + ... + 3651.

It is an arithmetic number, because the mean of its divisors is an integer number (16389).

2⁷²⁸³⁰ is an apocalyptic number.

72830 is a deficient number, since it is larger than the sum of its proper divisors (58282).

72830 is a wasteful number, since it uses less digits than its factorization.

72830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7290.

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 72830 is about 269.8703392372. The cubic root of 72830 is about 41.7609243886.

The spelling of 72830 in words is "seventy-two thousand, eight hundred thirty".